NDLI: Optimal fractional controllers for commensurate order systems: A special case of the Wiener-Hopf method

Content Provider	IEEE Xplore Digital Library
Author	Vinagre, B.M. Feliu, V.
Copyright Year	2000
Description	Author affiliation: Escuela de Ingenierias Ind., Univ. of Extremadura, Badajoz, Spain (Vinagre, B.M.)
Abstract	In this paper, the authors propose a generalization of the well known Wiener-Hopf design method of optimal controllers and filters, applicable to certain class of systems described by fractional order differential equations, the so called commensurate order systems, i.e., in the Laplace domain, systems described by transfer functions which are not quotients of polynomials in s, but in s/sup /spl alpha//, /spl alpha/=1/q, being q a positive integer. As can be verified in the literature, such transfer functions arise in the characterization of many industrial processes and physical systems which can be adequately modeled using fractional calculus, or when modelling some distributed parameter systems by finite dimensional models. Taking into account that fractional-order systems and controllers have a limited diffusion, after a brief exposition of the principal results of the traditional Wiener-Hopf method, some fundamental considerations about the dynamical properties of such systems are made. After that, the authors propose a procedure that allows the application of the method to the mentioned class of systems. An illustrative example is given.
Starting Page	97
Ending Page	102
File Size	435894
Page Count	6
File Format	PDF
ISBN	0780366387
ISSN	01912216
DOI	10.1109/CDC.2000.912740
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-12-12
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimal control Control systems Transfer functions Design methodology Filters Differential equations Polynomials Electrical equipment industry Fractional calculus Distributed parameter systems
Content Type	Text
Resource Type	Article

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